Establish the existence of the heavy H-baryon dibaryon through coupled-channel dynamics
Establish whether the heavy H_b dibaryon associated with the =00 channel exists by performing a full coupled-channel calculation that includes the relevant singly bottomed baryon-baryon channels.
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However, since their method provided only a lower limit for the mass and neglected the Pauli repulsion between quarks belonging to different diquarks, the existence of a bound $H_b$ state could not be established conclusively. In our calculation, the $\Lambda\Lambda_b$ channel with $IJ=00$, which has the same quark content as the $H_b$ dibaryon, does not support a bound state. In contrast, the $\Sigma\Sigma_b$ and $\Sigma{}\Sigma_b{}$ channels are found to be bound, with binding energies of -43.13 and -33.68 MeV, respectively. Therefore, the present single-channel results alone do not support a bound $H_b$ state. A full coupled-channel calculation in $IJ=00$ is therefore necessary to clarify this possibility and will be pursued in our future work.